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Finding the Fourth Proportional to 65,146, 89,901.48 and 36,851.08

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Solution

The fourth proportional to 65,146, 89,901.48 and 36,851.08 is: 50,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146 : 89,901.48 = 36,851.08 : x
  2. Step 2: Convert to fraction form
    65,146/89,901.48 = 36,851.08/x
  3. Step 3: Cross multiply
    65,146x = 89,901.48 × 36,851.08
  4. Step 4: Simplify right side
    65,146x = 3,312,966,631.60
  5. Step 5: Solve for x
    x = 3,312,966,631.60/65,146
  6. Step 6: Final answer
    x = 50,854.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.