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Finding the Fourth Proportional to 142,657.47, 213,985.70 and 42,817.23

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Solution

The fourth proportional to 142,657.47, 213,985.70 and 42,817.23 is: 64,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.47 : 213,985.70 = 42,817.23 : x
  2. Step 2: Convert to fraction form
    142,657.47/213,985.70 = 42,817.23/x
  3. Step 3: Cross multiply
    142,657.47x = 213,985.70 × 42,817.23
  4. Step 4: Simplify right side
    142,657.47x = 9,162,274,719.52
  5. Step 5: Solve for x
    x = 9,162,274,719.52/142,657.47
  6. Step 6: Final answer
    x = 64,225.69

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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.