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Finding the Fourth Proportional to 51,509,000.70, 72,218,769.30 and 51,509,000.70

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Solution

The fourth proportional to 51,509,000.70, 72,218,769.30 and 51,509,000.70 is: 72,218,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,509,000.70 : 72,218,769.30 = 51,509,000.70 : x
  2. Step 2: Convert to fraction form
    51,509,000.70/72,218,769.30 = 51,509,000.70/x
  3. Step 3: Cross multiply
    51,509,000.70x = 72,218,769.30 × 51,509,000.70
  4. Step 4: Simplify right side
    51,509,000.70x = 3,719,916,638,426,838.50
  5. Step 5: Solve for x
    x = 3,719,916,638,426,838.50/51,509,000.70
  6. Step 6: Final answer
    x = 72,218,769.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.