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Finding the Fourth Proportional to 113,965, 157,271.76 and 63,664

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Solution

The fourth proportional to 113,965, 157,271.76 and 63,664 is: 87,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,965 : 157,271.76 = 63,664 : x
  2. Step 2: Convert to fraction form
    113,965/157,271.76 = 63,664/x
  3. Step 3: Cross multiply
    113,965x = 157,271.76 × 63,664
  4. Step 4: Simplify right side
    113,965x = 10,012,549,328.64
  5. Step 5: Solve for x
    x = 10,012,549,328.64/113,965
  6. Step 6: Final answer
    x = 87,856.35

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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.