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Finding the Fourth Proportional to 113,973.74, 157,279.16 and 66,223.32

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Solution

The fourth proportional to 113,973.74, 157,279.16 and 66,223.32 is: 91,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,973.74 : 157,279.16 = 66,223.32 : x
  2. Step 2: Convert to fraction form
    113,973.74/157,279.16 = 66,223.32/x
  3. Step 3: Cross multiply
    113,973.74x = 157,279.16 × 66,223.32
  4. Step 4: Simplify right side
    113,973.74x = 10,415,547,810.89
  5. Step 5: Solve for x
    x = 10,415,547,810.89/113,973.74
  6. Step 6: Final answer
    x = 91,385.51

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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.