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Finding the Fourth Proportional to 136,804.64, 205,518.32 and 98,970.60

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Solution

The fourth proportional to 136,804.64, 205,518.32 and 98,970.60 is: 148,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,804.64 : 205,518.32 = 98,970.60 : x
  2. Step 2: Convert to fraction form
    136,804.64/205,518.32 = 98,970.60/x
  3. Step 3: Cross multiply
    136,804.64x = 205,518.32 × 98,970.60
  4. Step 4: Simplify right side
    136,804.64x = 20,340,271,441.39
  5. Step 5: Solve for x
    x = 20,340,271,441.39/136,804.64
  6. Step 6: Final answer
    x = 148,681.15

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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.