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Finding the Fourth Proportional to 107,416.16, 148,210.44 and 64,973.78

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Solution

The fourth proportional to 107,416.16, 148,210.44 and 64,973.78 is: 89,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,416.16 : 148,210.44 = 64,973.78 : x
  2. Step 2: Convert to fraction form
    107,416.16/148,210.44 = 64,973.78/x
  3. Step 3: Cross multiply
    107,416.16x = 148,210.44 × 64,973.78
  4. Step 4: Simplify right side
    107,416.16x = 9,629,792,522.26
  5. Step 5: Solve for x
    x = 9,629,792,522.26/107,416.16
  6. Step 6: Final answer
    x = 89,649.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.