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Finding the Fourth Proportional to 65,157, 89,916.75 and 36,862.08

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Solution

The fourth proportional to 65,157, 89,916.75 and 36,862.08 is: 50,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157 : 89,916.75 = 36,862.08 : x
  2. Step 2: Convert to fraction form
    65,157/89,916.75 = 36,862.08/x
  3. Step 3: Cross multiply
    65,157x = 89,916.75 × 36,862.08
  4. Step 4: Simplify right side
    65,157x = 3,314,518,431.84
  5. Step 5: Solve for x
    x = 3,314,518,431.84/65,157
  6. Step 6: Final answer
    x = 50,869.72

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1.5x scale

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.