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Finding the Fourth Proportional to 152,381.64, 210,282 and 84,395.90

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Solution

The fourth proportional to 152,381.64, 210,282 and 84,395.90 is: 116,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,381.64 : 210,282 = 84,395.90 : x
  2. Step 2: Convert to fraction form
    152,381.64/210,282 = 84,395.90/x
  3. Step 3: Cross multiply
    152,381.64x = 210,282 × 84,395.90
  4. Step 4: Simplify right side
    152,381.64x = 17,746,938,643.80
  5. Step 5: Solve for x
    x = 17,746,938,643.80/152,381.64
  6. Step 6: Final answer
    x = 116,463.76

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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.