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Finding the Fourth Proportional to 142,782.16, 214,306.20 and 72,714.16

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Solution

The fourth proportional to 142,782.16, 214,306.20 and 72,714.16 is: 109,138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.16 : 214,306.20 = 72,714.16 : x
  2. Step 2: Convert to fraction form
    142,782.16/214,306.20 = 72,714.16/x
  3. Step 3: Cross multiply
    142,782.16x = 214,306.20 × 72,714.16
  4. Step 4: Simplify right side
    142,782.16x = 15,583,095,315.79
  5. Step 5: Solve for x
    x = 15,583,095,315.79/142,782.16
  6. Step 6: Final answer
    x = 109,138.95

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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.