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Finding the Fourth Proportional to 210,497.18, 315,748.56 and 70,255.76

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Solution

The fourth proportional to 210,497.18, 315,748.56 and 70,255.76 is: 105,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,497.18 : 315,748.56 = 70,255.76 : x
  2. Step 2: Convert to fraction form
    210,497.18/315,748.56 = 70,255.76/x
  3. Step 3: Cross multiply
    210,497.18x = 315,748.56 × 70,255.76
  4. Step 4: Simplify right side
    210,497.18x = 22,183,155,051.71
  5. Step 5: Solve for x
    x = 22,183,155,051.71/210,497.18
  6. Step 6: Final answer
    x = 105,384.57

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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.