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Finding the Fourth Proportional to 157,898.72, 218,045.70 and 101,408.50

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Solution

The fourth proportional to 157,898.72, 218,045.70 and 101,408.50 is: 140,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,898.72 : 218,045.70 = 101,408.50 : x
  2. Step 2: Convert to fraction form
    157,898.72/218,045.70 = 101,408.50/x
  3. Step 3: Cross multiply
    157,898.72x = 218,045.70 × 101,408.50
  4. Step 4: Simplify right side
    157,898.72x = 22,111,687,368.45
  5. Step 5: Solve for x
    x = 22,111,687,368.45/157,898.72
  6. Step 6: Final answer
    x = 140,037.15

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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.