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Finding the Fourth Proportional to 72,216, 99,657.24 and 40,384.60

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Solution

The fourth proportional to 72,216, 99,657.24 and 40,384.60 is: 55,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,216 : 99,657.24 = 40,384.60 : x
  2. Step 2: Convert to fraction form
    72,216/99,657.24 = 40,384.60/x
  3. Step 3: Cross multiply
    72,216x = 99,657.24 × 40,384.60
  4. Step 4: Simplify right side
    72,216x = 4,024,617,774.50
  5. Step 5: Solve for x
    x = 4,024,617,774.50/72,216
  6. Step 6: Final answer
    x = 55,730.28

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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.