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Finding the Fourth Proportional to 223,071.90, 307,834.05 and 127,572.90

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Solution

The fourth proportional to 223,071.90, 307,834.05 and 127,572.90 is: 176,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,071.90 : 307,834.05 = 127,572.90 : x
  2. Step 2: Convert to fraction form
    223,071.90/307,834.05 = 127,572.90/x
  3. Step 3: Cross multiply
    223,071.90x = 307,834.05 × 127,572.90
  4. Step 4: Simplify right side
    223,071.90x = 39,271,282,477.25
  5. Step 5: Solve for x
    x = 39,271,282,477.25/223,071.90
  6. Step 6: Final answer
    x = 176,047.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.