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Finding the Fourth Proportional to 201,510.17, 278,123.76 and 115,526.87

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Solution

The fourth proportional to 201,510.17, 278,123.76 and 115,526.87 is: 159,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,510.17 : 278,123.76 = 115,526.87 : x
  2. Step 2: Convert to fraction form
    201,510.17/278,123.76 = 115,526.87/x
  3. Step 3: Cross multiply
    201,510.17x = 278,123.76 × 115,526.87
  4. Step 4: Simplify right side
    201,510.17x = 32,130,766,074.81
  5. Step 5: Solve for x
    x = 32,130,766,074.81/201,510.17
  6. Step 6: Final answer
    x = 159,449.85

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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.