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Finding the Fourth Proportional to 94,741.20, 142,111.80 and 66,478.80

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Solution

The fourth proportional to 94,741.20, 142,111.80 and 66,478.80 is: 99,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,741.20 : 142,111.80 = 66,478.80 : x
  2. Step 2: Convert to fraction form
    94,741.20/142,111.80 = 66,478.80/x
  3. Step 3: Cross multiply
    94,741.20x = 142,111.80 × 66,478.80
  4. Step 4: Simplify right side
    94,741.20x = 9,447,421,929.84
  5. Step 5: Solve for x
    x = 9,447,421,929.84/94,741.20
  6. Step 6: Final answer
    x = 99,718.20

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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.