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Finding the Fourth Proportional to 190,294.80, 262,624.64 and 105,411.92

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Solution

The fourth proportional to 190,294.80, 262,624.64 and 105,411.92 is: 145,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,294.80 : 262,624.64 = 105,411.92 : x
  2. Step 2: Convert to fraction form
    190,294.80/262,624.64 = 105,411.92/x
  3. Step 3: Cross multiply
    190,294.80x = 262,624.64 × 105,411.92
  4. Step 4: Simplify right side
    190,294.80x = 27,683,767,541.71
  5. Step 5: Solve for x
    x = 27,683,767,541.71/190,294.80
  6. Step 6: Final answer
    x = 145,478.32

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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.