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Finding the Fourth Proportional to 76,348, 105,360.78 and 46,540

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Solution

The fourth proportional to 76,348, 105,360.78 and 46,540 is: 64,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348 : 105,360.78 = 46,540 : x
  2. Step 2: Convert to fraction form
    76,348/105,360.78 = 46,540/x
  3. Step 3: Cross multiply
    76,348x = 105,360.78 × 46,540
  4. Step 4: Simplify right side
    76,348x = 4,903,490,701.20
  5. Step 5: Solve for x
    x = 4,903,490,701.20/76,348
  6. Step 6: Final answer
    x = 64,225.53

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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.