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Finding the Fourth Proportional to 77,547.72, 116,321.58 and 22,143.72

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Solution

The fourth proportional to 77,547.72, 116,321.58 and 22,143.72 is: 33,215.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,547.72 : 116,321.58 = 22,143.72 : x
  2. Step 2: Convert to fraction form
    77,547.72/116,321.58 = 22,143.72/x
  3. Step 3: Cross multiply
    77,547.72x = 116,321.58 × 22,143.72
  4. Step 4: Simplify right side
    77,547.72x = 2,575,792,497.48
  5. Step 5: Solve for x
    x = 2,575,792,497.48/77,547.72
  6. Step 6: Final answer
    x = 33,215.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.