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Finding the Fourth Proportional to 142,313, 196,432.90 and 93,950.24

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Solution

The fourth proportional to 142,313, 196,432.90 and 93,950.24 is: 129,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313 : 196,432.90 = 93,950.24 : x
  2. Step 2: Convert to fraction form
    142,313/196,432.90 = 93,950.24/x
  3. Step 3: Cross multiply
    142,313x = 196,432.90 × 93,950.24
  4. Step 4: Simplify right side
    142,313x = 18,454,918,098.90
  5. Step 5: Solve for x
    x = 18,454,918,098.90/142,313
  6. Step 6: Final answer
    x = 129,678.37

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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.