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Finding the Fourth Proportional to 78,509.16, 117,851.16 and 39,055.68

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Solution

The fourth proportional to 78,509.16, 117,851.16 and 39,055.68 is: 58,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.16 : 117,851.16 = 39,055.68 : x
  2. Step 2: Convert to fraction form
    78,509.16/117,851.16 = 39,055.68/x
  3. Step 3: Cross multiply
    78,509.16x = 117,851.16 × 39,055.68
  4. Step 4: Simplify right side
    78,509.16x = 4,602,757,192.59
  5. Step 5: Solve for x
    x = 4,602,757,192.59/78,509.16
  6. Step 6: Final answer
    x = 58,627.01

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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.