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Finding the Fourth Proportional to 107,782.80, 148,728.90 and 62,475

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Solution

The fourth proportional to 107,782.80, 148,728.90 and 62,475 is: 86,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782.80 : 148,728.90 = 62,475 : x
  2. Step 2: Convert to fraction form
    107,782.80/148,728.90 = 62,475/x
  3. Step 3: Cross multiply
    107,782.80x = 148,728.90 × 62,475
  4. Step 4: Simplify right side
    107,782.80x = 9,291,838,027.50
  5. Step 5: Solve for x
    x = 9,291,838,027.50/107,782.80
  6. Step 6: Final answer
    x = 86,208.91

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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.