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Finding the Fourth Proportional to 78,402.16, 117,623.04 and 34,018.12

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Solution

The fourth proportional to 78,402.16, 117,623.04 and 34,018.12 is: 51,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,402.16 : 117,623.04 = 34,018.12 : x
  2. Step 2: Convert to fraction form
    78,402.16/117,623.04 = 34,018.12/x
  3. Step 3: Cross multiply
    78,402.16x = 117,623.04 × 34,018.12
  4. Step 4: Simplify right side
    78,402.16x = 4,001,314,689.48
  5. Step 5: Solve for x
    x = 4,001,314,689.48/78,402.16
  6. Step 6: Final answer
    x = 51,035.77

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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.