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Finding the Fourth Proportional to 78,005.40, 117,008.10 and 61,416.60

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Solution

The fourth proportional to 78,005.40, 117,008.10 and 61,416.60 is: 92,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.40 : 117,008.10 = 61,416.60 : x
  2. Step 2: Convert to fraction form
    78,005.40/117,008.10 = 61,416.60/x
  3. Step 3: Cross multiply
    78,005.40x = 117,008.10 × 61,416.60
  4. Step 4: Simplify right side
    78,005.40x = 7,186,239,674.46
  5. Step 5: Solve for x
    x = 7,186,239,674.46/78,005.40
  6. Step 6: Final answer
    x = 92,124.90

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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.