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Finding the Fourth Proportional to 153,478.65, 211,772.40 and 85,493.93

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Solution

The fourth proportional to 153,478.65, 211,772.40 and 85,493.93 is: 117,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,478.65 : 211,772.40 = 85,493.93 : x
  2. Step 2: Convert to fraction form
    153,478.65/211,772.40 = 85,493.93/x
  3. Step 3: Cross multiply
    153,478.65x = 211,772.40 × 85,493.93
  4. Step 4: Simplify right side
    153,478.65x = 18,105,254,793.74
  5. Step 5: Solve for x
    x = 18,105,254,793.74/153,478.65
  6. Step 6: Final answer
    x = 117,965.95

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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.