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Finding the Fourth Proportional to 153,658.10, 211,565.66 and 130,642.66

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Solution

The fourth proportional to 153,658.10, 211,565.66 and 130,642.66 is: 179,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,658.10 : 211,565.66 = 130,642.66 : x
  2. Step 2: Convert to fraction form
    153,658.10/211,565.66 = 130,642.66/x
  3. Step 3: Cross multiply
    153,658.10x = 211,565.66 × 130,642.66
  4. Step 4: Simplify right side
    153,658.10x = 27,639,500,587.06
  5. Step 5: Solve for x
    x = 27,639,500,587.06/153,658.10
  6. Step 6: Final answer
    x = 179,876.63

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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.