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Finding the Fourth Proportional to 142,767.90, 214,151.85 and 76,412.70

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Solution

The fourth proportional to 142,767.90, 214,151.85 and 76,412.70 is: 114,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,767.90 : 214,151.85 = 76,412.70 : x
  2. Step 2: Convert to fraction form
    142,767.90/214,151.85 = 76,412.70/x
  3. Step 3: Cross multiply
    142,767.90x = 214,151.85 × 76,412.70
  4. Step 4: Simplify right side
    142,767.90x = 16,363,921,068.50
  5. Step 5: Solve for x
    x = 16,363,921,068.50/142,767.90
  6. Step 6: Final answer
    x = 114,619.05

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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.