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Finding the Fourth Proportional to 78,547.78, 116,933.33 and 78,080.76

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Solution

The fourth proportional to 78,547.78, 116,933.33 and 78,080.76 is: 116,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,547.78 : 116,933.33 = 78,080.76 : x
  2. Step 2: Convert to fraction form
    78,547.78/116,933.33 = 78,080.76/x
  3. Step 3: Cross multiply
    78,547.78x = 116,933.33 × 78,080.76
  4. Step 4: Simplify right side
    78,547.78x = 9,130,243,275.73
  5. Step 5: Solve for x
    x = 9,130,243,275.73/78,547.78
  6. Step 6: Final answer
    x = 116,238.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.