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Finding the Fourth Proportional to 102,420, 141,339.60 and 55,316

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Solution

The fourth proportional to 102,420, 141,339.60 and 55,316 is: 76,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420 : 141,339.60 = 55,316 : x
  2. Step 2: Convert to fraction form
    102,420/141,339.60 = 55,316/x
  3. Step 3: Cross multiply
    102,420x = 141,339.60 × 55,316
  4. Step 4: Simplify right side
    102,420x = 7,818,341,313.60
  5. Step 5: Solve for x
    x = 7,818,341,313.60/102,420
  6. Step 6: Final answer
    x = 76,336.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.