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Finding the Fourth Proportional to 102,214.60, 153,030.30 and 90,550.60

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Solution

The fourth proportional to 102,214.60, 153,030.30 and 90,550.60 is: 135,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.60 : 153,030.30 = 90,550.60 : x
  2. Step 2: Convert to fraction form
    102,214.60/153,030.30 = 90,550.60/x
  3. Step 3: Cross multiply
    102,214.60x = 153,030.30 × 90,550.60
  4. Step 4: Simplify right side
    102,214.60x = 13,856,985,483.18
  5. Step 5: Solve for x
    x = 13,856,985,483.18/102,214.60
  6. Step 6: Final answer
    x = 135,567.58

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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.