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Finding the Fourth Proportional to 153,822.80, 212,275.95 and 85,842.65

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Solution

The fourth proportional to 153,822.80, 212,275.95 and 85,842.65 is: 118,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,822.80 : 212,275.95 = 85,842.65 : x
  2. Step 2: Convert to fraction form
    153,822.80/212,275.95 = 85,842.65/x
  3. Step 3: Cross multiply
    153,822.80x = 212,275.95 × 85,842.65
  4. Step 4: Simplify right side
    153,822.80x = 18,222,329,650.05
  5. Step 5: Solve for x
    x = 18,222,329,650.05/153,822.80
  6. Step 6: Final answer
    x = 118,463.13

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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.