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Finding the Fourth Proportional to 210,475.46, 315,837.70 and 77,449.10

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Solution

The fourth proportional to 210,475.46, 315,837.70 and 77,449.10 is: 116,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,475.46 : 315,837.70 = 77,449.10 : x
  2. Step 2: Convert to fraction form
    210,475.46/315,837.70 = 77,449.10/x
  3. Step 3: Cross multiply
    210,475.46x = 315,837.70 × 77,449.10
  4. Step 4: Simplify right side
    210,475.46x = 24,461,343,838.26
  5. Step 5: Solve for x
    x = 24,461,343,838.26/210,475.46
  6. Step 6: Final answer
    x = 116,219.46

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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.