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Finding the Fourth Proportional to 242,912.12, 364,280.70 and 102,681.68

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Solution

The fourth proportional to 242,912.12, 364,280.70 and 102,681.68 is: 153,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,912.12 : 364,280.70 = 102,681.68 : x
  2. Step 2: Convert to fraction form
    242,912.12/364,280.70 = 102,681.68/x
  3. Step 3: Cross multiply
    242,912.12x = 364,280.70 × 102,681.68
  4. Step 4: Simplify right side
    242,912.12x = 37,404,954,267.58
  5. Step 5: Solve for x
    x = 37,404,954,267.58/242,912.12
  6. Step 6: Final answer
    x = 153,985.54

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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.