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Finding the Fourth Proportional to 61,852.78, 92,622.16 and 51,831.20

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Solution

The fourth proportional to 61,852.78, 92,622.16 and 51,831.20 is: 77,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,852.78 : 92,622.16 = 51,831.20 : x
  2. Step 2: Convert to fraction form
    61,852.78/92,622.16 = 51,831.20/x
  3. Step 3: Cross multiply
    61,852.78x = 92,622.16 × 51,831.20
  4. Step 4: Simplify right side
    61,852.78x = 4,800,717,699.39
  5. Step 5: Solve for x
    x = 4,800,717,699.39/61,852.78
  6. Step 6: Final answer
    x = 77,615.23

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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.