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Finding the Fourth Proportional to 137,547, 189,817.74 and 77,931

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Solution

The fourth proportional to 137,547, 189,817.74 and 77,931 is: 107,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,547 : 189,817.74 = 77,931 : x
  2. Step 2: Convert to fraction form
    137,547/189,817.74 = 77,931/x
  3. Step 3: Cross multiply
    137,547x = 189,817.74 × 77,931
  4. Step 4: Simplify right side
    137,547x = 14,792,686,295.94
  5. Step 5: Solve for x
    x = 14,792,686,295.94/137,547
  6. Step 6: Final answer
    x = 107,546.41

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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.