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Finding the Fourth Proportional to 65,357.66, 97,988.70 and 20,959.14

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Solution

The fourth proportional to 65,357.66, 97,988.70 and 20,959.14 is: 31,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.66 : 97,988.70 = 20,959.14 : x
  2. Step 2: Convert to fraction form
    65,357.66/97,988.70 = 20,959.14/x
  3. Step 3: Cross multiply
    65,357.66x = 97,988.70 × 20,959.14
  4. Step 4: Simplify right side
    65,357.66x = 2,053,758,881.72
  5. Step 5: Solve for x
    x = 2,053,758,881.72/65,357.66
  6. Step 6: Final answer
    x = 31,423.38

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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.