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Finding the Fourth Proportional to 257,783.38, 386,717.90 and 108,034.93

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Solution

The fourth proportional to 257,783.38, 386,717.90 and 108,034.93 is: 162,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,783.38 : 386,717.90 = 108,034.93 : x
  2. Step 2: Convert to fraction form
    257,783.38/386,717.90 = 108,034.93/x
  3. Step 3: Cross multiply
    257,783.38x = 386,717.90 × 108,034.93
  4. Step 4: Simplify right side
    257,783.38x = 41,779,041,199.47
  5. Step 5: Solve for x
    x = 41,779,041,199.47/257,783.38
  6. Step 6: Final answer
    x = 162,070.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.