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Finding the Fourth Proportional to 210,547.52, 290,543.24 and 115,054.96

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Solution

The fourth proportional to 210,547.52, 290,543.24 and 115,054.96 is: 158,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,547.52 : 290,543.24 = 115,054.96 : x
  2. Step 2: Convert to fraction form
    210,547.52/290,543.24 = 115,054.96/x
  3. Step 3: Cross multiply
    210,547.52x = 290,543.24 × 115,054.96
  4. Step 4: Simplify right side
    210,547.52x = 33,428,440,856.47
  5. Step 5: Solve for x
    x = 33,428,440,856.47/210,547.52
  6. Step 6: Final answer
    x = 158,769.10

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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.