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Finding the Fourth Proportional to 190,442.80, 285,664.20 and 97,130.80

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Solution

The fourth proportional to 190,442.80, 285,664.20 and 97,130.80 is: 145,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,442.80 : 285,664.20 = 97,130.80 : x
  2. Step 2: Convert to fraction form
    190,442.80/285,664.20 = 97,130.80/x
  3. Step 3: Cross multiply
    190,442.80x = 285,664.20 × 97,130.80
  4. Step 4: Simplify right side
    190,442.80x = 27,746,792,277.36
  5. Step 5: Solve for x
    x = 27,746,792,277.36/190,442.80
  6. Step 6: Final answer
    x = 145,696.20

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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.