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Finding the Fourth Proportional to 210,471.37, 315,707.06 and 77,294.01

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Solution

The fourth proportional to 210,471.37, 315,707.06 and 77,294.01 is: 115,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,471.37 : 315,707.06 = 77,294.01 : x
  2. Step 2: Convert to fraction form
    210,471.37/315,707.06 = 77,294.01/x
  3. Step 3: Cross multiply
    210,471.37x = 315,707.06 × 77,294.01
  4. Step 4: Simplify right side
    210,471.37x = 24,402,264,652.71
  5. Step 5: Solve for x
    x = 24,402,264,652.71/210,471.37
  6. Step 6: Final answer
    x = 115,941.02

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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.