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Finding the Fourth Proportional to 102,089.70, 140,880.06 and 56,769.57

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Solution

The fourth proportional to 102,089.70, 140,880.06 and 56,769.57 is: 78,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,089.70 : 140,880.06 = 56,769.57 : x
  2. Step 2: Convert to fraction form
    102,089.70/140,880.06 = 56,769.57/x
  3. Step 3: Cross multiply
    102,089.70x = 140,880.06 × 56,769.57
  4. Step 4: Simplify right side
    102,089.70x = 7,997,700,427.77
  5. Step 5: Solve for x
    x = 7,997,700,427.77/102,089.70
  6. Step 6: Final answer
    x = 78,339.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.