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Finding the Fourth Proportional to 76,774.34, 105,946.86 and 42,782.66

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Solution

The fourth proportional to 76,774.34, 105,946.86 and 42,782.66 is: 59,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,774.34 : 105,946.86 = 42,782.66 : x
  2. Step 2: Convert to fraction form
    76,774.34/105,946.86 = 42,782.66/x
  3. Step 3: Cross multiply
    76,774.34x = 105,946.86 × 42,782.66
  4. Step 4: Simplify right side
    76,774.34x = 4,532,688,489.45
  5. Step 5: Solve for x
    x = 4,532,688,489.45/76,774.34
  6. Step 6: Final answer
    x = 59,039.11

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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.