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Finding the Fourth Proportional to 135,709.78, 187,275.87 and 78,347.17

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Solution

The fourth proportional to 135,709.78, 187,275.87 and 78,347.17 is: 108,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709.78 : 187,275.87 = 78,347.17 : x
  2. Step 2: Convert to fraction form
    135,709.78/187,275.87 = 78,347.17/x
  3. Step 3: Cross multiply
    135,709.78x = 187,275.87 × 78,347.17
  4. Step 4: Simplify right side
    135,709.78x = 14,672,533,487.41
  5. Step 5: Solve for x
    x = 14,672,533,487.41/135,709.78
  6. Step 6: Final answer
    x = 108,117.00

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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.