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Finding the Fourth Proportional to 261,291.83, 392,100.35 and 141,298.95

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Solution

The fourth proportional to 261,291.83, 392,100.35 and 141,298.95 is: 212,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,291.83 : 392,100.35 = 141,298.95 : x
  2. Step 2: Convert to fraction form
    261,291.83/392,100.35 = 141,298.95/x
  3. Step 3: Cross multiply
    261,291.83x = 392,100.35 × 141,298.95
  4. Step 4: Simplify right side
    261,291.83x = 55,403,368,873.05
  5. Step 5: Solve for x
    x = 55,403,368,873.05/261,291.83
  6. Step 6: Final answer
    x = 212,036.37

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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.