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Finding the Fourth Proportional to 121,031.89, 181,516.95 and 85,823.89

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Solution

The fourth proportional to 121,031.89, 181,516.95 and 85,823.89 is: 128,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,031.89 : 181,516.95 = 85,823.89 : x
  2. Step 2: Convert to fraction form
    121,031.89/181,516.95 = 85,823.89/x
  3. Step 3: Cross multiply
    121,031.89x = 181,516.95 × 85,823.89
  4. Step 4: Simplify right side
    121,031.89x = 15,578,490,296.14
  5. Step 5: Solve for x
    x = 15,578,490,296.14/121,031.89
  6. Step 6: Final answer
    x = 128,713.93

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1.5x scale

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.