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Finding the Fourth Proportional to 142,145.94, 212,692.77 and 113,979.90

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Solution

The fourth proportional to 142,145.94, 212,692.77 and 113,979.90 is: 170,547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145.94 : 212,692.77 = 113,979.90 : x
  2. Step 2: Convert to fraction form
    142,145.94/212,692.77 = 113,979.90/x
  3. Step 3: Cross multiply
    142,145.94x = 212,692.77 × 113,979.90
  4. Step 4: Simplify right side
    142,145.94x = 24,242,700,655.32
  5. Step 5: Solve for x
    x = 24,242,700,655.32/142,145.94
  6. Step 6: Final answer
    x = 170,547.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.