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Finding the Fourth Proportional to 172,973.10, 260,042.85 and 147,312.30

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Solution

The fourth proportional to 172,973.10, 260,042.85 and 147,312.30 is: 221,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,973.10 : 260,042.85 = 147,312.30 : x
  2. Step 2: Convert to fraction form
    172,973.10/260,042.85 = 147,312.30/x
  3. Step 3: Cross multiply
    172,973.10x = 260,042.85 × 147,312.30
  4. Step 4: Simplify right side
    172,973.10x = 38,307,510,332.06
  5. Step 5: Solve for x
    x = 38,307,510,332.06/172,973.10
  6. Step 6: Final answer
    x = 221,465.13

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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.