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Finding the Fourth Proportional to 209,777.58, 314,675.01 and 109,881.90

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Solution

The fourth proportional to 209,777.58, 314,675.01 and 109,881.90 is: 164,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,777.58 : 314,675.01 = 109,881.90 : x
  2. Step 2: Convert to fraction form
    209,777.58/314,675.01 = 109,881.90/x
  3. Step 3: Cross multiply
    209,777.58x = 314,675.01 × 109,881.90
  4. Step 4: Simplify right side
    209,777.58x = 34,577,087,981.32
  5. Step 5: Solve for x
    x = 34,577,087,981.32/209,777.58
  6. Step 6: Final answer
    x = 164,827.38

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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.