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Finding the Fourth Proportional to 145,840, 201,259.34 and 78,772

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Solution

The fourth proportional to 145,840, 201,259.34 and 78,772 is: 108,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,840 : 201,259.34 = 78,772 : x
  2. Step 2: Convert to fraction form
    145,840/201,259.34 = 78,772/x
  3. Step 3: Cross multiply
    145,840x = 201,259.34 × 78,772
  4. Step 4: Simplify right side
    145,840x = 15,853,600,730.48
  5. Step 5: Solve for x
    x = 15,853,600,730.48/145,840
  6. Step 6: Final answer
    x = 108,705.44

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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.