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Finding the Fourth Proportional to 153,308.34, 211,572.47 and 85,329.66

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Solution

The fourth proportional to 153,308.34, 211,572.47 and 85,329.66 is: 117,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,308.34 : 211,572.47 = 85,329.66 : x
  2. Step 2: Convert to fraction form
    153,308.34/211,572.47 = 85,329.66/x
  3. Step 3: Cross multiply
    153,308.34x = 211,572.47 × 85,329.66
  4. Step 4: Simplify right side
    153,308.34x = 18,053,406,930.46
  5. Step 5: Solve for x
    x = 18,053,406,930.46/153,308.34
  6. Step 6: Final answer
    x = 117,758.81

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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.