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Finding the Fourth Proportional to 142,781.60, 213,967.60 and 105,047.20

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Solution

The fourth proportional to 142,781.60, 213,967.60 and 105,047.20 is: 157,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.60 : 213,967.60 = 105,047.20 : x
  2. Step 2: Convert to fraction form
    142,781.60/213,967.60 = 105,047.20/x
  3. Step 3: Cross multiply
    142,781.60x = 213,967.60 × 105,047.20
  4. Step 4: Simplify right side
    142,781.60x = 22,476,697,270.72
  5. Step 5: Solve for x
    x = 22,476,697,270.72/142,781.60
  6. Step 6: Final answer
    x = 157,420.12

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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.