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Finding the Fourth Proportional to 76,612.98, 105,718.32 and 47,927.10

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Solution

The fourth proportional to 76,612.98, 105,718.32 and 47,927.10 is: 66,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,612.98 : 105,718.32 = 47,927.10 : x
  2. Step 2: Convert to fraction form
    76,612.98/105,718.32 = 47,927.10/x
  3. Step 3: Cross multiply
    76,612.98x = 105,718.32 × 47,927.10
  4. Step 4: Simplify right side
    76,612.98x = 5,066,772,494.47
  5. Step 5: Solve for x
    x = 5,066,772,494.47/76,612.98
  6. Step 6: Final answer
    x = 66,134.65

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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.