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Finding the Fourth Proportional to 205,028, 282,938.64 and 110,820

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Solution

The fourth proportional to 205,028, 282,938.64 and 110,820 is: 152,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,028 : 282,938.64 = 110,820 : x
  2. Step 2: Convert to fraction form
    205,028/282,938.64 = 110,820/x
  3. Step 3: Cross multiply
    205,028x = 282,938.64 × 110,820
  4. Step 4: Simplify right side
    205,028x = 31,355,260,084.80
  5. Step 5: Solve for x
    x = 31,355,260,084.80/205,028
  6. Step 6: Final answer
    x = 152,931.60

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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.