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Finding the Fourth Proportional to 112,148, 154,767.12 and 64,409.84

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Solution

The fourth proportional to 112,148, 154,767.12 and 64,409.84 is: 88,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,148 : 154,767.12 = 64,409.84 : x
  2. Step 2: Convert to fraction form
    112,148/154,767.12 = 64,409.84/x
  3. Step 3: Cross multiply
    112,148x = 154,767.12 × 64,409.84
  4. Step 4: Simplify right side
    112,148x = 9,968,525,436.46
  5. Step 5: Solve for x
    x = 9,968,525,436.46/112,148
  6. Step 6: Final answer
    x = 88,887.23

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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.