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Finding the Fourth Proportional to 261,782.25, 392,448.48 and 90,981.77

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Solution

The fourth proportional to 261,782.25, 392,448.48 and 90,981.77 is: 136,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782.25 : 392,448.48 = 90,981.77 : x
  2. Step 2: Convert to fraction form
    261,782.25/392,448.48 = 90,981.77/x
  3. Step 3: Cross multiply
    261,782.25x = 392,448.48 × 90,981.77
  4. Step 4: Simplify right side
    261,782.25x = 35,705,657,984.15
  5. Step 5: Solve for x
    x = 35,705,657,984.15/261,782.25
  6. Step 6: Final answer
    x = 136,394.50

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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.