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Finding the Fourth Proportional to 153,282.91, 211,534.46 and 85,304.47

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Solution

The fourth proportional to 153,282.91, 211,534.46 and 85,304.47 is: 117,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,282.91 : 211,534.46 = 85,304.47 : x
  2. Step 2: Convert to fraction form
    153,282.91/211,534.46 = 85,304.47/x
  3. Step 3: Cross multiply
    153,282.91x = 211,534.46 × 85,304.47
  4. Step 4: Simplify right side
    153,282.91x = 18,044,834,997.04
  5. Step 5: Solve for x
    x = 18,044,834,997.04/153,282.91
  6. Step 6: Final answer
    x = 117,722.42

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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.