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Finding the Fourth Proportional to 156,930, 235,397.16 and 86,946

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Solution

The fourth proportional to 156,930, 235,397.16 and 86,946 is: 130,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,930 : 235,397.16 = 86,946 : x
  2. Step 2: Convert to fraction form
    156,930/235,397.16 = 86,946/x
  3. Step 3: Cross multiply
    156,930x = 235,397.16 × 86,946
  4. Step 4: Simplify right side
    156,930x = 20,466,841,473.36
  5. Step 5: Solve for x
    x = 20,466,841,473.36/156,930
  6. Step 6: Final answer
    x = 130,420.20

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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.