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Finding the Fourth Proportional to 142,808.47, 212,935.96 and 138,884.94

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Solution

The fourth proportional to 142,808.47, 212,935.96 and 138,884.94 is: 207,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,808.47 : 212,935.96 = 138,884.94 : x
  2. Step 2: Convert to fraction form
    142,808.47/212,935.96 = 138,884.94/x
  3. Step 3: Cross multiply
    142,808.47x = 212,935.96 × 138,884.94
  4. Step 4: Simplify right side
    142,808.47x = 29,573,597,403.54
  5. Step 5: Solve for x
    x = 29,573,597,403.54/142,808.47
  6. Step 6: Final answer
    x = 207,085.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.