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Finding the Fourth Proportional to 153,506.61, 211,854.69 and 85,534.65

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Solution

The fourth proportional to 153,506.61, 211,854.69 and 85,534.65 is: 118,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,506.61 : 211,854.69 = 85,534.65 : x
  2. Step 2: Convert to fraction form
    153,506.61/211,854.69 = 85,534.65/x
  3. Step 3: Cross multiply
    153,506.61x = 211,854.69 × 85,534.65
  4. Step 4: Simplify right side
    153,506.61x = 18,120,916,760.01
  5. Step 5: Solve for x
    x = 18,120,916,760.01/153,506.61
  6. Step 6: Final answer
    x = 118,046.49

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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.