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Finding the Fourth Proportional to 128,017.52, 176,695.80 and 77,758.64

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Solution

The fourth proportional to 128,017.52, 176,695.80 and 77,758.64 is: 107,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,017.52 : 176,695.80 = 77,758.64 : x
  2. Step 2: Convert to fraction form
    128,017.52/176,695.80 = 77,758.64/x
  3. Step 3: Cross multiply
    128,017.52x = 176,695.80 × 77,758.64
  4. Step 4: Simplify right side
    128,017.52x = 13,739,625,101.71
  5. Step 5: Solve for x
    x = 13,739,625,101.71/128,017.52
  6. Step 6: Final answer
    x = 107,326.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.