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Finding the Fourth Proportional to 209,999.80, 314,999.70 and 121,426.30

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Solution

The fourth proportional to 209,999.80, 314,999.70 and 121,426.30 is: 182,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,999.80 : 314,999.70 = 121,426.30 : x
  2. Step 2: Convert to fraction form
    209,999.80/314,999.70 = 121,426.30/x
  3. Step 3: Cross multiply
    209,999.80x = 314,999.70 × 121,426.30
  4. Step 4: Simplify right side
    209,999.80x = 38,249,248,072.11
  5. Step 5: Solve for x
    x = 38,249,248,072.11/209,999.80
  6. Step 6: Final answer
    x = 182,139.45

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1.5x scale

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.