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Finding the Fourth Proportional to 76,542.72, 105,651 and 46,328.16

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Solution

The fourth proportional to 76,542.72, 105,651 and 46,328.16 is: 63,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.72 : 105,651 = 46,328.16 : x
  2. Step 2: Convert to fraction form
    76,542.72/105,651 = 46,328.16/x
  3. Step 3: Cross multiply
    76,542.72x = 105,651 × 46,328.16
  4. Step 4: Simplify right side
    76,542.72x = 4,894,616,432.16
  5. Step 5: Solve for x
    x = 4,894,616,432.16/76,542.72
  6. Step 6: Final answer
    x = 63,946.20

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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.