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Finding the Fourth Proportional to 153,706, 230,358.08 and 78,762.64

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Solution

The fourth proportional to 153,706, 230,358.08 and 78,762.64 is: 118,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,706 : 230,358.08 = 78,762.64 : x
  2. Step 2: Convert to fraction form
    153,706/230,358.08 = 78,762.64/x
  3. Step 3: Cross multiply
    153,706x = 230,358.08 × 78,762.64
  4. Step 4: Simplify right side
    153,706x = 18,143,610,526.13
  5. Step 5: Solve for x
    x = 18,143,610,526.13/153,706
  6. Step 6: Final answer
    x = 118,041.00

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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.