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Finding the Fourth Proportional to 148,784.60, 205,323.42 and 80,802.08

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Solution

The fourth proportional to 148,784.60, 205,323.42 and 80,802.08 is: 111,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,784.60 : 205,323.42 = 80,802.08 : x
  2. Step 2: Convert to fraction form
    148,784.60/205,323.42 = 80,802.08/x
  3. Step 3: Cross multiply
    148,784.60x = 205,323.42 × 80,802.08
  4. Step 4: Simplify right side
    148,784.60x = 16,590,559,408.71
  5. Step 5: Solve for x
    x = 16,590,559,408.71/148,784.60
  6. Step 6: Final answer
    x = 111,507.24

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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.