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Finding the Fourth Proportional to 105,025, 157,537.50 and 102,381.16

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Solution

The fourth proportional to 105,025, 157,537.50 and 102,381.16 is: 153,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,025 : 157,537.50 = 102,381.16 : x
  2. Step 2: Convert to fraction form
    105,025/157,537.50 = 102,381.16/x
  3. Step 3: Cross multiply
    105,025x = 157,537.50 × 102,381.16
  4. Step 4: Simplify right side
    105,025x = 16,128,871,993.50
  5. Step 5: Solve for x
    x = 16,128,871,993.50/105,025
  6. Step 6: Final answer
    x = 153,571.74

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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.