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Finding the Fourth Proportional to 210,018.78, 314,900.91 and 83,678.22

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Solution

The fourth proportional to 210,018.78, 314,900.91 and 83,678.22 is: 125,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,018.78 : 314,900.91 = 83,678.22 : x
  2. Step 2: Convert to fraction form
    210,018.78/314,900.91 = 83,678.22/x
  3. Step 3: Cross multiply
    210,018.78x = 314,900.91 × 83,678.22
  4. Step 4: Simplify right side
    210,018.78x = 26,350,347,625.18
  5. Step 5: Solve for x
    x = 26,350,347,625.18/210,018.78
  6. Step 6: Final answer
    x = 125,466.63

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1.5x scale

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.