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Finding the Fourth Proportional to 55,776.16, 77,007.12 and 34,578.08

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Solution

The fourth proportional to 55,776.16, 77,007.12 and 34,578.08 is: 47,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776.16 : 77,007.12 = 34,578.08 : x
  2. Step 2: Convert to fraction form
    55,776.16/77,007.12 = 34,578.08/x
  3. Step 3: Cross multiply
    55,776.16x = 77,007.12 × 34,578.08
  4. Step 4: Simplify right side
    55,776.16x = 2,662,758,355.93
  5. Step 5: Solve for x
    x = 2,662,758,355.93/55,776.16
  6. Step 6: Final answer
    x = 47,740.08

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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.