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Finding the Fourth Proportional to 147,585, 221,399.10 and 47,712

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Solution

The fourth proportional to 147,585, 221,399.10 and 47,712 is: 71,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,585 : 221,399.10 = 47,712 : x
  2. Step 2: Convert to fraction form
    147,585/221,399.10 = 47,712/x
  3. Step 3: Cross multiply
    147,585x = 221,399.10 × 47,712
  4. Step 4: Simplify right side
    147,585x = 10,563,393,859.20
  5. Step 5: Solve for x
    x = 10,563,393,859.20/147,585
  6. Step 6: Final answer
    x = 71,574.98

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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.