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Finding the Fourth Proportional to 190,382.84, 285,572.20 and 78,038.01

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Solution

The fourth proportional to 190,382.84, 285,572.20 and 78,038.01 is: 117,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,382.84 : 285,572.20 = 78,038.01 : x
  2. Step 2: Convert to fraction form
    190,382.84/285,572.20 = 78,038.01/x
  3. Step 3: Cross multiply
    190,382.84x = 285,572.20 × 78,038.01
  4. Step 4: Simplify right side
    190,382.84x = 22,285,486,199.32
  5. Step 5: Solve for x
    x = 22,285,486,199.32/190,382.84
  6. Step 6: Final answer
    x = 117,056.17

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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.