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Finding the Fourth Proportional to 125,984, 189,005.16 and 42,878

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Solution

The fourth proportional to 125,984, 189,005.16 and 42,878 is: 64,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,984 : 189,005.16 = 42,878 : x
  2. Step 2: Convert to fraction form
    125,984/189,005.16 = 42,878/x
  3. Step 3: Cross multiply
    125,984x = 189,005.16 × 42,878
  4. Step 4: Simplify right side
    125,984x = 8,104,163,250.48
  5. Step 5: Solve for x
    x = 8,104,163,250.48/125,984
  6. Step 6: Final answer
    x = 64,326.92

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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.