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Finding the Fourth Proportional to 151,029.72, 208,421.16 and 83,047.84

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Solution

The fourth proportional to 151,029.72, 208,421.16 and 83,047.84 is: 114,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,029.72 : 208,421.16 = 83,047.84 : x
  2. Step 2: Convert to fraction form
    151,029.72/208,421.16 = 83,047.84/x
  3. Step 3: Cross multiply
    151,029.72x = 208,421.16 × 83,047.84
  4. Step 4: Simplify right side
    151,029.72x = 17,308,927,148.29
  5. Step 5: Solve for x
    x = 17,308,927,148.29/151,029.72
  6. Step 6: Final answer
    x = 114,606.10

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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.