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Finding the Fourth Proportional to 76,294.65, 105,285.53 and 42,303.20

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Solution

The fourth proportional to 76,294.65, 105,285.53 and 42,303.20 is: 58,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,294.65 : 105,285.53 = 42,303.20 : x
  2. Step 2: Convert to fraction form
    76,294.65/105,285.53 = 42,303.20/x
  3. Step 3: Cross multiply
    76,294.65x = 105,285.53 × 42,303.20
  4. Step 4: Simplify right side
    76,294.65x = 4,453,914,621.18
  5. Step 5: Solve for x
    x = 4,453,914,621.18/76,294.65
  6. Step 6: Final answer
    x = 58,377.81

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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.