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Finding the Fourth Proportional to 121,461.40, 182,192.10 and 51,419.80

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Solution

The fourth proportional to 121,461.40, 182,192.10 and 51,419.80 is: 77,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,461.40 : 182,192.10 = 51,419.80 : x
  2. Step 2: Convert to fraction form
    121,461.40/182,192.10 = 51,419.80/x
  3. Step 3: Cross multiply
    121,461.40x = 182,192.10 × 51,419.80
  4. Step 4: Simplify right side
    121,461.40x = 9,368,281,343.58
  5. Step 5: Solve for x
    x = 9,368,281,343.58/121,461.40
  6. Step 6: Final answer
    x = 77,129.70

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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.