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Finding the Fourth Proportional to 145,642.89, 200,947.86 and 85,228.50

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Solution

The fourth proportional to 145,642.89, 200,947.86 and 85,228.50 is: 117,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,642.89 : 200,947.86 = 85,228.50 : x
  2. Step 2: Convert to fraction form
    145,642.89/200,947.86 = 85,228.50/x
  3. Step 3: Cross multiply
    145,642.89x = 200,947.86 × 85,228.50
  4. Step 4: Simplify right side
    145,642.89x = 17,126,484,686.01
  5. Step 5: Solve for x
    x = 17,126,484,686.01/145,642.89
  6. Step 6: Final answer
    x = 117,592.32

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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.