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Finding the Fourth Proportional to 142,721.32, 214,082 and 59,557

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Solution

The fourth proportional to 142,721.32, 214,082 and 59,557 is: 89,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,721.32 : 214,082 = 59,557 : x
  2. Step 2: Convert to fraction form
    142,721.32/214,082 = 59,557/x
  3. Step 3: Cross multiply
    142,721.32x = 214,082 × 59,557
  4. Step 4: Simplify right side
    142,721.32x = 12,750,081,674
  5. Step 5: Solve for x
    x = 12,750,081,674/142,721.32
  6. Step 6: Final answer
    x = 89,335.51

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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.