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Finding the Fourth Proportional to 210,402, 315,657.72 and 62,658

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Solution

The fourth proportional to 210,402, 315,657.72 and 62,658 is: 94,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,402 : 315,657.72 = 62,658 : x
  2. Step 2: Convert to fraction form
    210,402/315,657.72 = 62,658/x
  3. Step 3: Cross multiply
    210,402x = 315,657.72 × 62,658
  4. Step 4: Simplify right side
    210,402x = 19,778,481,419.76
  5. Step 5: Solve for x
    x = 19,778,481,419.76/210,402
  6. Step 6: Final answer
    x = 94,003.30

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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.