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Finding the Fourth Proportional to 76,452.75, 105,510.20 and 42,918.75

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Solution

The fourth proportional to 76,452.75, 105,510.20 and 42,918.75 is: 59,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452.75 : 105,510.20 = 42,918.75 : x
  2. Step 2: Convert to fraction form
    76,452.75/105,510.20 = 42,918.75/x
  3. Step 3: Cross multiply
    76,452.75x = 105,510.20 × 42,918.75
  4. Step 4: Simplify right side
    76,452.75x = 4,528,365,681.66
  5. Step 5: Solve for x
    x = 4,528,365,681.66/76,452.75
  6. Step 6: Final answer
    x = 59,230.91

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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.