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Finding the Fourth Proportional to 145,820, 201,231.60 and 78,752

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Solution

The fourth proportional to 145,820, 201,231.60 and 78,752 is: 108,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820 : 201,231.60 = 78,752 : x
  2. Step 2: Convert to fraction form
    145,820/201,231.60 = 78,752/x
  3. Step 3: Cross multiply
    145,820x = 201,231.60 × 78,752
  4. Step 4: Simplify right side
    145,820x = 15,847,390,963.20
  5. Step 5: Solve for x
    x = 15,847,390,963.20/145,820
  6. Step 6: Final answer
    x = 108,677.76

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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.