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Finding the Fourth Proportional to 242,142, 334,139.67 and 134,708.10

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Solution

The fourth proportional to 242,142, 334,139.67 and 134,708.10 is: 185,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,142 : 334,139.67 = 134,708.10 : x
  2. Step 2: Convert to fraction form
    242,142/334,139.67 = 134,708.10/x
  3. Step 3: Cross multiply
    242,142x = 334,139.67 × 134,708.10
  4. Step 4: Simplify right side
    242,142x = 45,011,320,080.33
  5. Step 5: Solve for x
    x = 45,011,320,080.33/242,142
  6. Step 6: Final answer
    x = 185,888.12

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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.