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Finding the Fourth Proportional to 176,686.40, 264,640.80 and 156,987.20

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Solution

The fourth proportional to 176,686.40, 264,640.80 and 156,987.20 is: 235,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,686.40 : 264,640.80 = 156,987.20 : x
  2. Step 2: Convert to fraction form
    176,686.40/264,640.80 = 156,987.20/x
  3. Step 3: Cross multiply
    176,686.40x = 264,640.80 × 156,987.20
  4. Step 4: Simplify right side
    176,686.40x = 41,545,218,197.76
  5. Step 5: Solve for x
    x = 41,545,218,197.76/176,686.40
  6. Step 6: Final answer
    x = 235,135.35

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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.