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Finding the Fourth Proportional to 209,643.60, 314,465.40 and 99,051.60

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Solution

The fourth proportional to 209,643.60, 314,465.40 and 99,051.60 is: 148,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.60 : 314,465.40 = 99,051.60 : x
  2. Step 2: Convert to fraction form
    209,643.60/314,465.40 = 99,051.60/x
  3. Step 3: Cross multiply
    209,643.60x = 314,465.40 × 99,051.60
  4. Step 4: Simplify right side
    209,643.60x = 31,148,301,014.64
  5. Step 5: Solve for x
    x = 31,148,301,014.64/209,643.60
  6. Step 6: Final answer
    x = 148,577.40

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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.