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Finding the Fourth Proportional to 172,574.60, 258,898.86 and 97,730.12

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Solution

The fourth proportional to 172,574.60, 258,898.86 and 97,730.12 is: 146,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,574.60 : 258,898.86 = 97,730.12 : x
  2. Step 2: Convert to fraction form
    172,574.60/258,898.86 = 97,730.12/x
  3. Step 3: Cross multiply
    172,574.60x = 258,898.86 × 97,730.12
  4. Step 4: Simplify right side
    172,574.60x = 25,302,216,655.66
  5. Step 5: Solve for x
    x = 25,302,216,655.66/172,574.60
  6. Step 6: Final answer
    x = 146,616.11

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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.