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Finding the Fourth Proportional to 210,605.12, 315,713.28 and 105,332.48

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Solution

The fourth proportional to 210,605.12, 315,713.28 and 105,332.48 is: 157,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,605.12 : 315,713.28 = 105,332.48 : x
  2. Step 2: Convert to fraction form
    210,605.12/315,713.28 = 105,332.48/x
  3. Step 3: Cross multiply
    210,605.12x = 315,713.28 × 105,332.48
  4. Step 4: Simplify right side
    210,605.12x = 33,254,862,751.33
  5. Step 5: Solve for x
    x = 33,254,862,751.33/210,605.12
  6. Step 6: Final answer
    x = 157,901.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.