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Finding the Fourth Proportional to 97,210.90, 145,621.95 and 65,718.10

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Solution

The fourth proportional to 97,210.90, 145,621.95 and 65,718.10 is: 98,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210.90 : 145,621.95 = 65,718.10 : x
  2. Step 2: Convert to fraction form
    97,210.90/145,621.95 = 65,718.10/x
  3. Step 3: Cross multiply
    97,210.90x = 145,621.95 × 65,718.10
  4. Step 4: Simplify right side
    97,210.90x = 9,569,997,872.30
  5. Step 5: Solve for x
    x = 9,569,997,872.30/97,210.90
  6. Step 6: Final answer
    x = 98,445.73

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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.