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Finding the Fourth Proportional to 78,810.66, 118,094.49 and 38,783.70

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Solution

The fourth proportional to 78,810.66, 118,094.49 and 38,783.70 is: 58,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,810.66 : 118,094.49 = 38,783.70 : x
  2. Step 2: Convert to fraction form
    78,810.66/118,094.49 = 38,783.70/x
  3. Step 3: Cross multiply
    78,810.66x = 118,094.49 × 38,783.70
  4. Step 4: Simplify right side
    78,810.66x = 4,580,141,271.81
  5. Step 5: Solve for x
    x = 4,580,141,271.81/78,810.66
  6. Step 6: Final answer
    x = 58,115.76

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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.