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Finding the Fourth Proportional to 113,051.16, 155,978.66 and 72,788.22

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Solution

The fourth proportional to 113,051.16, 155,978.66 and 72,788.22 is: 100,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,051.16 : 155,978.66 = 72,788.22 : x
  2. Step 2: Convert to fraction form
    113,051.16/155,978.66 = 72,788.22/x
  3. Step 3: Cross multiply
    113,051.16x = 155,978.66 × 72,788.22
  4. Step 4: Simplify right side
    113,051.16x = 11,353,409,201.36
  5. Step 5: Solve for x
    x = 11,353,409,201.36/113,051.16
  6. Step 6: Final answer
    x = 100,427.18

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1.5x scale

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.