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Finding the Fourth Proportional to 209,878.16, 314,909.98 and 110,014.47

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Solution

The fourth proportional to 209,878.16, 314,909.98 and 110,014.47 is: 165,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,878.16 : 314,909.98 = 110,014.47 : x
  2. Step 2: Convert to fraction form
    209,878.16/314,909.98 = 110,014.47/x
  3. Step 3: Cross multiply
    209,878.16x = 314,909.98 × 110,014.47
  4. Step 4: Simplify right side
    209,878.16x = 34,644,654,272.37
  5. Step 5: Solve for x
    x = 34,644,654,272.37/209,878.16
  6. Step 6: Final answer
    x = 165,070.32

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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.