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Finding the Fourth Proportional to 78,598.49, 117,897.74 and 19,435.28

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Solution

The fourth proportional to 78,598.49, 117,897.74 and 19,435.28 is: 29,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,598.49 : 117,897.74 = 19,435.28 : x
  2. Step 2: Convert to fraction form
    78,598.49/117,897.74 = 19,435.28/x
  3. Step 3: Cross multiply
    78,598.49x = 117,897.74 × 19,435.28
  4. Step 4: Simplify right side
    78,598.49x = 2,291,374,901.60
  5. Step 5: Solve for x
    x = 2,291,374,901.60/78,598.49
  6. Step 6: Final answer
    x = 29,152.91

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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.