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Finding the Fourth Proportional to 153,308.84, 211,565.70 and 85,325.48

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Solution

The fourth proportional to 153,308.84, 211,565.70 and 85,325.48 is: 117,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,308.84 : 211,565.70 = 85,325.48 : x
  2. Step 2: Convert to fraction form
    153,308.84/211,565.70 = 85,325.48/x
  3. Step 3: Cross multiply
    153,308.84x = 211,565.70 × 85,325.48
  4. Step 4: Simplify right side
    153,308.84x = 18,051,944,904.04
  5. Step 5: Solve for x
    x = 18,051,944,904.04/153,308.84
  6. Step 6: Final answer
    x = 117,748.88

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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.