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Finding the Fourth Proportional to 87,368, 120,570.40 and 49,643.84

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Solution

The fourth proportional to 87,368, 120,570.40 and 49,643.84 is: 68,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,368 : 120,570.40 = 49,643.84 : x
  2. Step 2: Convert to fraction form
    87,368/120,570.40 = 49,643.84/x
  3. Step 3: Cross multiply
    87,368x = 120,570.40 × 49,643.84
  4. Step 4: Simplify right side
    87,368x = 5,985,577,646.34
  5. Step 5: Solve for x
    x = 5,985,577,646.34/87,368
  6. Step 6: Final answer
    x = 68,509.95

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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.