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Finding the Fourth Proportional to 117,405.63, 176,031.87 and 77,303.28

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Solution

The fourth proportional to 117,405.63, 176,031.87 and 77,303.28 is: 115,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,405.63 : 176,031.87 = 77,303.28 : x
  2. Step 2: Convert to fraction form
    117,405.63/176,031.87 = 77,303.28/x
  3. Step 3: Cross multiply
    117,405.63x = 176,031.87 × 77,303.28
  4. Step 4: Simplify right side
    117,405.63x = 13,607,840,935.53
  5. Step 5: Solve for x
    x = 13,607,840,935.53/117,405.63
  6. Step 6: Final answer
    x = 115,904.50

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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.