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Finding the Fourth Proportional to 288,097.95, 432,146.93 and 77,735.55

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Solution

The fourth proportional to 288,097.95, 432,146.93 and 77,735.55 is: 116,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.95 : 432,146.93 = 77,735.55 : x
  2. Step 2: Convert to fraction form
    288,097.95/432,146.93 = 77,735.55/x
  3. Step 3: Cross multiply
    288,097.95x = 432,146.93 × 77,735.55
  4. Step 4: Simplify right side
    288,097.95x = 33,593,178,895.68
  5. Step 5: Solve for x
    x = 33,593,178,895.68/288,097.95
  6. Step 6: Final answer
    x = 116,603.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.