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Finding the Fourth Proportional to 114,064, 157,477.44 and 74,389.12

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Solution

The fourth proportional to 114,064, 157,477.44 and 74,389.12 is: 102,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,064 : 157,477.44 = 74,389.12 : x
  2. Step 2: Convert to fraction form
    114,064/157,477.44 = 74,389.12/x
  3. Step 3: Cross multiply
    114,064x = 157,477.44 × 74,389.12
  4. Step 4: Simplify right side
    114,064x = 11,714,608,181.45
  5. Step 5: Solve for x
    x = 11,714,608,181.45/114,064
  6. Step 6: Final answer
    x = 102,702.06

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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.