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Finding the Fourth Proportional to 129,459.84, 178,653.36 and 72,870

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Solution

The fourth proportional to 129,459.84, 178,653.36 and 72,870 is: 100,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,459.84 : 178,653.36 = 72,870 : x
  2. Step 2: Convert to fraction form
    129,459.84/178,653.36 = 72,870/x
  3. Step 3: Cross multiply
    129,459.84x = 178,653.36 × 72,870
  4. Step 4: Simplify right side
    129,459.84x = 13,018,470,343.20
  5. Step 5: Solve for x
    x = 13,018,470,343.20/129,459.84
  6. Step 6: Final answer
    x = 100,559.91

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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.