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Finding the Fourth Proportional to 102,591.40, 153,656.70 and 102,591.40

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Solution

The fourth proportional to 102,591.40, 153,656.70 and 102,591.40 is: 153,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,591.40 : 153,656.70 = 102,591.40 : x
  2. Step 2: Convert to fraction form
    102,591.40/153,656.70 = 102,591.40/x
  3. Step 3: Cross multiply
    102,591.40x = 153,656.70 × 102,591.40
  4. Step 4: Simplify right side
    102,591.40x = 15,763,855,972.38
  5. Step 5: Solve for x
    x = 15,763,855,972.38/102,591.40
  6. Step 6: Final answer
    x = 153,656.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.