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Finding the Fourth Proportional to 102,689.70, 141,706.70 and 57,358.65

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Solution

The fourth proportional to 102,689.70, 141,706.70 and 57,358.65 is: 79,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689.70 : 141,706.70 = 57,358.65 : x
  2. Step 2: Convert to fraction form
    102,689.70/141,706.70 = 57,358.65/x
  3. Step 3: Cross multiply
    102,689.70x = 141,706.70 × 57,358.65
  4. Step 4: Simplify right side
    102,689.70x = 8,128,105,151.35
  5. Step 5: Solve for x
    x = 8,128,105,151.35/102,689.70
  6. Step 6: Final answer
    x = 79,152.10

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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.