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Finding the Fourth Proportional to 78,526.16, 108,364.16 and 44,990

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Solution

The fourth proportional to 78,526.16, 108,364.16 and 44,990 is: 62,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,526.16 : 108,364.16 = 44,990 : x
  2. Step 2: Convert to fraction form
    78,526.16/108,364.16 = 44,990/x
  3. Step 3: Cross multiply
    78,526.16x = 108,364.16 × 44,990
  4. Step 4: Simplify right side
    78,526.16x = 4,875,303,558.40
  5. Step 5: Solve for x
    x = 4,875,303,558.40/78,526.16
  6. Step 6: Final answer
    x = 62,085.09

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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.