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Finding the Fourth Proportional to 134,807.69, 186,040.54 and 77,465

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Solution

The fourth proportional to 134,807.69, 186,040.54 and 77,465 is: 106,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,807.69 : 186,040.54 = 77,465 : x
  2. Step 2: Convert to fraction form
    134,807.69/186,040.54 = 77,465/x
  3. Step 3: Cross multiply
    134,807.69x = 186,040.54 × 77,465
  4. Step 4: Simplify right side
    134,807.69x = 14,411,630,431.10
  5. Step 5: Solve for x
    x = 14,411,630,431.10/134,807.69
  6. Step 6: Final answer
    x = 106,905.11

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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.