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Finding the Fourth Proportional to 210,498.18, 315,750.06 and 70,256.76

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Solution

The fourth proportional to 210,498.18, 315,750.06 and 70,256.76 is: 105,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,498.18 : 315,750.06 = 70,256.76 : x
  2. Step 2: Convert to fraction form
    210,498.18/315,750.06 = 70,256.76/x
  3. Step 3: Cross multiply
    210,498.18x = 315,750.06 × 70,256.76
  4. Step 4: Simplify right side
    210,498.18x = 22,183,576,185.41
  5. Step 5: Solve for x
    x = 22,183,576,185.41/210,498.18
  6. Step 6: Final answer
    x = 105,386.07

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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.