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Finding the Fourth Proportional to 164,807.10, 247,210.65 and 70,012.80

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Solution

The fourth proportional to 164,807.10, 247,210.65 and 70,012.80 is: 105,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,807.10 : 247,210.65 = 70,012.80 : x
  2. Step 2: Convert to fraction form
    164,807.10/247,210.65 = 70,012.80/x
  3. Step 3: Cross multiply
    164,807.10x = 247,210.65 × 70,012.80
  4. Step 4: Simplify right side
    164,807.10x = 17,307,909,796.32
  5. Step 5: Solve for x
    x = 17,307,909,796.32/164,807.10
  6. Step 6: Final answer
    x = 105,019.20

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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.