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Finding the Fourth Proportional to 76,294.90, 105,285.87 and 42,303.45

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Solution

The fourth proportional to 76,294.90, 105,285.87 and 42,303.45 is: 58,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,294.90 : 105,285.87 = 42,303.45 : x
  2. Step 2: Convert to fraction form
    76,294.90/105,285.87 = 42,303.45/x
  3. Step 3: Cross multiply
    76,294.90x = 105,285.87 × 42,303.45
  4. Step 4: Simplify right side
    76,294.90x = 4,453,955,537.25
  5. Step 5: Solve for x
    x = 4,453,955,537.25/76,294.90
  6. Step 6: Final answer
    x = 58,378.16

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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.