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Finding the Fourth Proportional to 78,038.07, 107,673.80 and 47,410.55

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Solution

The fourth proportional to 78,038.07, 107,673.80 and 47,410.55 is: 65,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,038.07 : 107,673.80 = 47,410.55 : x
  2. Step 2: Convert to fraction form
    78,038.07/107,673.80 = 47,410.55/x
  3. Step 3: Cross multiply
    78,038.07x = 107,673.80 × 47,410.55
  4. Step 4: Simplify right side
    78,038.07x = 5,104,874,078.59
  5. Step 5: Solve for x
    x = 5,104,874,078.59/78,038.07
  6. Step 6: Final answer
    x = 65,415.18

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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.