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Finding the Fourth Proportional to 98,391, 147,600.90 and 31,809

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Solution

The fourth proportional to 98,391, 147,600.90 and 31,809 is: 47,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,391 : 147,600.90 = 31,809 : x
  2. Step 2: Convert to fraction form
    98,391/147,600.90 = 31,809/x
  3. Step 3: Cross multiply
    98,391x = 147,600.90 × 31,809
  4. Step 4: Simplify right side
    98,391x = 4,695,037,028.10
  5. Step 5: Solve for x
    x = 4,695,037,028.10/98,391
  6. Step 6: Final answer
    x = 47,718.16

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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.