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Finding the Fourth Proportional to 129,396, 178,547.04 and 72,806.16

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Solution

The fourth proportional to 129,396, 178,547.04 and 72,806.16 is: 100,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,396 : 178,547.04 = 72,806.16 : x
  2. Step 2: Convert to fraction form
    129,396/178,547.04 = 72,806.16/x
  3. Step 3: Cross multiply
    129,396x = 178,547.04 × 72,806.16
  4. Step 4: Simplify right side
    129,396x = 12,999,324,361.77
  5. Step 5: Solve for x
    x = 12,999,324,361.77/129,396
  6. Step 6: Final answer
    x = 100,461.56

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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.