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Finding the Fourth Proportional to 210,903.95, 291,047.48 and 115,410.66

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Solution

The fourth proportional to 210,903.95, 291,047.48 and 115,410.66 is: 159,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.95 : 291,047.48 = 115,410.66 : x
  2. Step 2: Convert to fraction form
    210,903.95/291,047.48 = 115,410.66/x
  3. Step 3: Cross multiply
    210,903.95x = 291,047.48 × 115,410.66
  4. Step 4: Simplify right side
    210,903.95x = 33,589,980,522.45
  5. Step 5: Solve for x
    x = 33,589,980,522.45/210,903.95
  6. Step 6: Final answer
    x = 159,266.72

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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.