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Finding the Fourth Proportional to 76,451, 105,502.44 and 42,927.80

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Solution

The fourth proportional to 76,451, 105,502.44 and 42,927.80 is: 59,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,451 : 105,502.44 = 42,927.80 : x
  2. Step 2: Convert to fraction form
    76,451/105,502.44 = 42,927.80/x
  3. Step 3: Cross multiply
    76,451x = 105,502.44 × 42,927.80
  4. Step 4: Simplify right side
    76,451x = 4,528,987,643.83
  5. Step 5: Solve for x
    x = 4,528,987,643.83/76,451
  6. Step 6: Final answer
    x = 59,240.40

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1.5x scale

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.