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Finding the Fourth Proportional to 286,502.76, 429,753.70 and 76,140.72

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Solution

The fourth proportional to 286,502.76, 429,753.70 and 76,140.72 is: 114,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,502.76 : 429,753.70 = 76,140.72 : x
  2. Step 2: Convert to fraction form
    286,502.76/429,753.70 = 76,140.72/x
  3. Step 3: Cross multiply
    286,502.76x = 429,753.70 × 76,140.72
  4. Step 4: Simplify right side
    286,502.76x = 32,721,756,140.66
  5. Step 5: Solve for x
    x = 32,721,756,140.66/286,502.76
  6. Step 6: Final answer
    x = 114,210.96

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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.