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Finding the Fourth Proportional to 255,178.08, 382,656.60 and 77,643.90

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Solution

The fourth proportional to 255,178.08, 382,656.60 and 77,643.90 is: 116,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178.08 : 382,656.60 = 77,643.90 : x
  2. Step 2: Convert to fraction form
    255,178.08/382,656.60 = 77,643.90/x
  3. Step 3: Cross multiply
    255,178.08x = 382,656.60 × 77,643.90
  4. Step 4: Simplify right side
    255,178.08x = 29,710,950,784.74
  5. Step 5: Solve for x
    x = 29,710,950,784.74/255,178.08
  6. Step 6: Final answer
    x = 116,432.22

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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.