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Finding the Fourth Proportional to 148,792, 205,332.96 and 81,724

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Solution

The fourth proportional to 148,792, 205,332.96 and 81,724 is: 112,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,792 : 205,332.96 = 81,724 : x
  2. Step 2: Convert to fraction form
    148,792/205,332.96 = 81,724/x
  3. Step 3: Cross multiply
    148,792x = 205,332.96 × 81,724
  4. Step 4: Simplify right side
    148,792x = 16,780,630,823.04
  5. Step 5: Solve for x
    x = 16,780,630,823.04/148,792
  6. Step 6: Final answer
    x = 112,779.12

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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.