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Finding the Fourth Proportional to 217,148, 299,681.60 and 127,741.28

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Solution

The fourth proportional to 217,148, 299,681.60 and 127,741.28 is: 176,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,148 : 299,681.60 = 127,741.28 : x
  2. Step 2: Convert to fraction form
    217,148/299,681.60 = 127,741.28/x
  3. Step 3: Cross multiply
    217,148x = 299,681.60 × 127,741.28
  4. Step 4: Simplify right side
    217,148x = 38,281,711,176.45
  5. Step 5: Solve for x
    x = 38,281,711,176.45/217,148
  6. Step 6: Final answer
    x = 176,293.18

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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.