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Finding the Fourth Proportional to 76,305.34, 105,307.62 and 42,324.52

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Solution

The fourth proportional to 76,305.34, 105,307.62 and 42,324.52 is: 58,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,305.34 : 105,307.62 = 42,324.52 : x
  2. Step 2: Convert to fraction form
    76,305.34/105,307.62 = 42,324.52/x
  3. Step 3: Cross multiply
    76,305.34x = 105,307.62 × 42,324.52
  4. Step 4: Simplify right side
    76,305.34x = 4,457,094,468.84
  5. Step 5: Solve for x
    x = 4,457,094,468.84/76,305.34
  6. Step 6: Final answer
    x = 58,411.30

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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.