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Finding the Fourth Proportional to 229,463.10, 316,666.13 and 138,835.71

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Solution

The fourth proportional to 229,463.10, 316,666.13 and 138,835.71 is: 191,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,463.10 : 316,666.13 = 138,835.71 : x
  2. Step 2: Convert to fraction form
    229,463.10/316,666.13 = 138,835.71/x
  3. Step 3: Cross multiply
    229,463.10x = 316,666.13 × 138,835.71
  4. Step 4: Simplify right side
    229,463.10x = 43,964,566,297.32
  5. Step 5: Solve for x
    x = 43,964,566,297.32/229,463.10
  6. Step 6: Final answer
    x = 191,597.54

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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.