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Finding the Fourth Proportional to 210,565.16, 290,580.69 and 115,071.87

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Solution

The fourth proportional to 210,565.16, 290,580.69 and 115,071.87 is: 158,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,565.16 : 290,580.69 = 115,071.87 : x
  2. Step 2: Convert to fraction form
    210,565.16/290,580.69 = 115,071.87/x
  3. Step 3: Cross multiply
    210,565.16x = 290,580.69 × 115,071.87
  4. Step 4: Simplify right side
    210,565.16x = 33,437,663,384.19
  5. Step 5: Solve for x
    x = 33,437,663,384.19/210,565.16
  6. Step 6: Final answer
    x = 158,799.60

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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.