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Finding the Fourth Proportional to 142,017.08, 195,985.84 and 78,354.84

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Solution

The fourth proportional to 142,017.08, 195,985.84 and 78,354.84 is: 108,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,017.08 : 195,985.84 = 78,354.84 : x
  2. Step 2: Convert to fraction form
    142,017.08/195,985.84 = 78,354.84/x
  3. Step 3: Cross multiply
    142,017.08x = 195,985.84 × 78,354.84
  4. Step 4: Simplify right side
    142,017.08x = 15,356,439,135.47
  5. Step 5: Solve for x
    x = 15,356,439,135.47/142,017.08
  6. Step 6: Final answer
    x = 108,130.93

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1.5x scale

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.