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Finding the Fourth Proportional to 229,087.02, 316,155.87 and 128,491.50

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Solution

The fourth proportional to 229,087.02, 316,155.87 and 128,491.50 is: 177,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,087.02 : 316,155.87 = 128,491.50 : x
  2. Step 2: Convert to fraction form
    229,087.02/316,155.87 = 128,491.50/x
  3. Step 3: Cross multiply
    229,087.02x = 316,155.87 × 128,491.50
  4. Step 4: Simplify right side
    229,087.02x = 40,623,341,970.11
  5. Step 5: Solve for x
    x = 40,623,341,970.11/229,087.02
  6. Step 6: Final answer
    x = 177,327.12

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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.